The Effect of Mathematical Habits of Mind and Early Mathematical Ability on Modeling Ability of  High School Students

Almyra Aprilia; Endang Cahya Mulyaning Asih; Dian Usdiyana

doi:10.31764/jtam.v7i4.11924

The Effect of Mathematical Habits of Mind and Early Mathematical Ability on Modeling Ability of High School Students

Almyra Aprilia, Endang Cahya Mulyaning Asih, Dian Usdiyana

Abstract

Modeling mathematics serves as a bridge between the processes of translating real-world problems into mathematics. In reality, however, students' mathematical modeling skills, including their knowledge of derivative applications, remain subpar. This study is intended to determine the relationship between mathematical modeling skills, mathematical habits of mind (MHoM), and early mathematical ability (EMA). This research employed a quantitative methodology with mix method sequential explanatory design. The method used a quantitative and qualitative approach. The first quantitative phase is used, then explained more deeply through the qualitative phase. Sample in this study were 36 eleventh-grade students from one of Tasikmalaya's senior high schools. In this investigation, the EMA was the previous semester's math report card grade. A mathematical modeling ability test question and an MHoM questionnaire were administered to students, and the quantitative analysis of the results followed. This study demonstrates that the relationship between MHoM and EMA has a 31.2% modeling capability. In addition, a one-point increase in MHoM and EMA increases the average mathematical modeling ability of pupils by 1,570 and 2,241. Therefore, it can be concluded that MHoM and EMA have a positive effect on mathematical modeling ability.

Keywords

Mathematical modeling ability; Mathematical habits of mind; Early mathematical ability.

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References

Bahir, R. A., & Mampouw, H. L. (2020). Identifikasi Kesalahan Siswa SMA dalam Membuat Pemodelan Matematika dan Penyebabnya. Jurnal Cendekia : Jurnal Pendidikan Matematika, 4(1), 72–81. https://doi.org/10.31004/cendekia.v4i1.161

Beers, S. Z. (2011). What are the skills students will need in the 21 st century? 1–6. https://cosee.umaine.edu/files/coseeos/21st_century_skills.pdf

Blum, W., & Borromeo, R. (2009). Mathematical Modelling: Can It Be Taught And Learnt? Journal of Mathematical Modelling and Application, 1(1), 45–58.

Blum, W., & Leiß, D. (2007). Deal with modelling problems. Mathematical Modelling: Education, Engineering and Economics-ICTMA, 12, 222.

Check, J., & Schutt, R. K. (2011). Research methods in education. Sage Publications.

Claessens, A., & Engel, M. (2013). How important is where you start? Early mathematics knowledge and later school success. Teachers College Record, 115(6). https://doi.org/10.1177/016146811311500603

Costa, A. L., & Kallick, B. (2004). Explorations in teacher education. Explorations in Teacher Education JALT Teacher Education SIG Newsletter, 12(4), 1–44.

Cuoco, A., Paul Goldenberg, E., & Mark, J. (1996). Habits of mind: An organizing principle for mathematics curricula. Journal of Mathematical Behavior, 15(4), 375–402. https://doi.org/10.1016/S0732-3123(96)90023-1

Dwirahayu, G., Kustiawati, D., & Bidari, I. (2017). Corresponding Habits of Mind and Mathematical Ability. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012013

Fitri, N. W., Subarinah, S., & Turmuzi, M. (2019). Analisis Kesalahan Newman Dalam Menyelesaikan Soal Cerita Materi Turunan Pada Siswa Kelas XII. MANDALIKA Mathematics and Educations Journal, 1(2), 66. https://doi.org/10.29303/mandalika.v1i2.1559

Herawaty, D., & Widada, W. (2018). The Influence of Contextual Learning Models and the Cognitive Conflict to Understand Mathematical Concepts and Problems Solving Abilities. 218(ICoMSE 2017), 96–102. https://doi.org/10.2991/icomse-17.2018.17

Hoover, M., Mosvold, R., Ball, D. L., & Lai, Y. (2016). Making progress on mathematical knowledge for teaching. Mathematics Enthusiast, 13(1–2), 3–34. https://doi.org/10.54870/1551-3440.1363

Jerau, E. E., Wardono, W., & ... (2021). Mathematical Literacy Ability Viewed by Studentsâ€TM Mathematical Habits of Mind Using Quick on the Draw Model With SPUR Approach. Unnes Journal of …, 10(1), 40–49. https://journal.unnes.ac.id/sju/index.php/ujmer/article/view/44102

Koskinen, R., & Pitkäniemi, H. (2022). Meaningful Learning in Mathematics: A Research Synthesis of Teaching Approaches. International Electronic Journal of Mathematics Education, 17(2), em0679. https://doi.org/10.29333/iejme/11715

Ludwig, M., & Xu, B. (2010). Eine vergleichende Studie von Modellierungskompetenzen zwischen chinesischen und deutschen Schülern. Journal Fur Mathematik-Didaktik, 31(1), 77–97. https://doi.org/10.1007/s13138-010-0005-z

Mogens, N. (2003). Mathematical Competencies and the Learning of Mathematics : the Danish Kom Project. Proceedings of the 3rd Mediterranean Conference on Mathematical Education, 1–12.

NCTM. (2000). Standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.

OECD. (2004). The PISA 2003 Assessment Framework. OECD. https://doi.org/10.1787/9789264101739-en

Özdemir, E., & Üzel, D. (2018). A Case Study on Teacher Instructional Practices in Mathematical Modeling. The Online Journal of New Horizons in Education, 3(1), 1–15.

Pei, C. (Yu), Weintrop, D., & Wilensky, U. (2018). Cultivating Computational Thinking Practices and Mathematical Habits of Mind in Lattice Land. Mathematical Thinking and Learning, 20(1), 75–89. https://doi.org/10.1080/10986065.2018.1403543

Sugiyono. (2016). Metode Penelitian dan Pengembangan (Research and Development/R&D). Bandung: Alfabeta, 334.

Surya, E., Putri, F. A., & Mukhtar. (2017). Improving mathematical problem-solving ability and self-confidence of high school students through contextual learning model. Journal on Mathematics Education, 8(1), 85–94. https://doi.org/10.22342/jme.8.1.3324.85-94

ÜNVEREN BİLGİÇ, E. N. (2018). İlköğretim Matematik Öğretmen Adaylarının Matematiksel Zihin Alışkanlıklarının Problem Çözme Sürecinde İncelenmesi. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, 12(1), 63–82. https://doi.org/10.17522/balikesirnef.437659

Watts, T. W., Duncan, G. J., Siegler, R. S., & Davis-Kean, P. E. (2014). What’s Past Is Prologue: Relations Between Early Mathematics Knowledge and High School Achievement. Educational Researcher, 43(7), 352–360. https://doi.org/10.3102/0013189X14553660

Yandari, I. A. V., Supartini, S., Pamungkas, A. S., & Khaerunnisa, E. (2019). The Role of Habits of Mind (HOM) on Student’s Mathematical Problem Solving Skills of Primary School. Al-Jabar : Jurnal Pendidikan Matematika, 10(1), 47–57. https://doi.org/10.24042/ajpm.v10i1.4018

Yu, K., Fan, S., & Lin, K. (2014). Enhancing students ’ problem-solving skills through context-based learning. April 2013.

DOI: https://doi.org/10.31764/jtam.v7i4.11924